Determining the weak phase {gamma} from charged {ital B} decays
- Department of Physics, Technion-Israel Institute of Technology, Haifa 32000 (Israel)
- Enrico Fermi Institute and Department of Physics, University of Chicago, Chicago, Illinois 60637 (United States)
A quadrangle relation is shown to be satisfied by the amplitudes for {ital B}{sup +}{r_arrow}{pi}{sup 0}{ital K}{sup +}, {pi}{sup +}{ital K}{sup 0}, {eta}{ital K}{sup +}, and {eta}{sup {prime}}{ital K}{sup +}. By comparison with the corresponding relation satisfied by {ital B}{sup {minus}} decay amplitudes, it is shown that the relative phases of all the amplitudes can be determined up to discrete ambiguities. Making use of an SU(3) relation between amplitudes contributing to the above decays and those contributing to {ital B}{sup {plus_minus}}{r_arrow}{pi}{sup {plus_minus}}{pi}{sup 0}, it is then shown that one can determine the weak phase {gamma}{equivalent_to}Arg({ital V}{sub {ital ub}}{sup {asterisk}}{ital V}{sub {ital cb}} /{ital V}{sub {ital us}}{sup {asterisk}}{ital V}{sub {ital cs}}), where {ital V} is the Cabibbo-Kobayashi-Maskawa matrix describing the charge-changing weak interactions between the quarks ({ital u},{ital c},{ital t}) and ({ital d},{ital s},{ital b}). {copyright} {ital 1996 The American Physical Society.}
- Research Organization:
- University of Chicago
- DOE Contract Number:
- FG02-90ER40560
- OSTI ID:
- 279171
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 5 Vol. 53; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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